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I constructed a pergola on a paver deck behind my home outside Tampa.
Pictures and plan athttp://home.earthlink.net/~bobgreene33/pergola/
I enquired with Hillsborough County Building Inspector and was informed that, if the structure was not attached to the house and if the roof was open, no building permit was required.
Pleasantly surprized, I went ahead and did it. I tied the support beams into the paver deck and into cemented holes I reinfored with rebar per my diagram.
I am open to any suggestions that may make the structure safer as far as windstorms are concerned.
Thanks for the feedback.
Robert Greene at CountryChase

Secondly, you've got the pergola braced at the posts and since the "roof" breathes, I would not do anything more than what you've done. The hurricane winds may push it around a little but I don't see anything short of putting in braces from the ground, up to the top of the posts, that would make it better. You've done a good job, I wouldn't mess with it. Next time the hurricanes come through, look it over afterwards and see if you see any areas of weakness. Then you can do something about it.